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Finding the Third Proportional to 36,939.38 and 78,492.38

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Solution

The third proportional to 36,939.38 and 78,492.38 is: 166,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,939.38 : 78,492.38 = 78,492.38 : x
  2. Step 2: Convert to fraction form
    36,939.38/78,492.38 = 78,492.38/x
  3. Step 3: Cross multiply
    36,939.38x = 78,492.38 × 78,492.38
  4. Step 4: Simplify right side
    36,939.38x = 6,161,052,933.14
  5. Step 5: Solve for x
    x = 6,161,052,933.14/36,939.38
  6. Step 6: Final answer
    x = 166,788.23

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.